Atkin-Lehner |
2+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248i |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
117248 |
Modular degree for the optimal curve |
Δ |
672366592 = 215 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ -3 -4 -1 -2 -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1612,24880] |
[a1,a2,a3,a4,a6] |
Generators |
[21:17:1] [-10:200:1] |
Generators of the group modulo torsion |
j |
14137378632/20519 |
j-invariant |
L |
4.1258663618403 |
L(r)(E,1)/r! |
Ω |
1.6120442700093 |
Real period |
R |
0.31992501991767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248f1 38624a1 |
Quadratic twists by: -4 8 |